Difference between revisions of "009A Sample Final 3, Problem 1"
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<span class="exam">Find each of the following limits if it exists. If you think the limit does not exist provide a reason. | <span class="exam">Find each of the following limits if it exists. If you think the limit does not exist provide a reason. | ||
| − | <span class="exam">(a) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin(5x)}{1-\sqrt{1-x}}</math> | + | <span class="exam">(a) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin(5x)}{1-\sqrt{1-x}}</math> |
| − | <span class="exam">(b) <math style="vertical-align: - | + | <span class="exam">(b) <math style="vertical-align: -12px">\lim_{x\rightarrow 8} f(x),</math> given that <math style="vertical-align: -14px">\lim_{x\rightarrow 8}\frac{xf(x)}{3}=-2</math> |
| − | <span class="exam">(c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{9x^6-x}}{3x^3+4x}</math> | + | <span class="exam">(c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{9x^6-x}}{3x^3+4x}</math> |
| + | <hr> | ||
| + | [[009A Sample Final 3, Problem 1 Solution|'''<u>Solution</u>''']] | ||
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| + | [[009A Sample Final 3, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']] | ||
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[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 16:32, 2 December 2017
Find each of the following limits if it exists. If you think the limit does not exist provide a reason.
(a)
(b) given that
(c)
